Hankin R.K.S, Lee A (2006) A new family of non-negative distributions. Australia and New Zealand Journal of Statistics 48(1): 67(78)

http://www.am.qub.ac.uk/users/g.gribakin/sor/Chap3.pdf

Examples

params<-c(.2,4,.5,.3)pgfkattitypeh2(.5,params)## The function is currently defined aspgfkattitypeh2<-function(s,params){require(hypergeo)
k<-s[abs(s)>1]if(length(k)>0)warning("At least one element of the vector s are out of interval [-1,1]")if(length(params)<4)stop("At least one value in params is missing")if(length(params)>4)stop("The length of params is 4")
theta<-params[1]
a<-params[2]
b<-params[3]
k<-params[4]if(theta<=0)stop("Parameter theta must be positive")if(a<=0)stop("Parameter a must be positive")if(b<=0)stop("Parameter b must be positive")if(k<=0)stop("Parameter k must be positive")Re(hypergeo(k,a,a+b,theta*(s-1)))}